A characterization of the total variation TV of the Jacobian determinant detDu is obtained for some classes of functions u in two dimensions, outside the traditional regularity space W^(1,2). In particular, explicit formulas are deduced for functions that are locally Lipschitz continuous away from a given one point singularity.
On the Total Variation of the Jacobian / I. FONSECA; N. FUSCO; P. MARCELLINI. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - STAMPA. - 207:(2004), pp. 1-32.
On the Total Variation of the Jacobian
MARCELLINI, PAOLO
2004
Abstract
A characterization of the total variation TV of the Jacobian determinant detDu is obtained for some classes of functions u in two dimensions, outside the traditional regularity space W^(1,2). In particular, explicit formulas are deduced for functions that are locally Lipschitz continuous away from a given one point singularity.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2004_Fonseca_Fusco_Marcellini.pdf
Accesso chiuso
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Tutti i diritti riservati
Dimensione
310.36 kB
Formato
Adobe PDF
|
310.36 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
